13271013 has 32 divisors (see below), whose sum is σ = 22944000. Its totient is φ = 7578144.

The previous prime is 13270997. The next prime is 13271021. The reversal of 13271013 is 31017231.

It is not a de Polignac number, because 13271013 - 2⁴ = 13270997 is a prime.

It is a super-2 number, since 2×13271013² = 352239572092338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13271213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8545 + ... + 9977.

It is an arithmetic number, because the mean of its divisors is an integer number (717000).

Almost surely, 2^13271013 is an apocalyptic number.

It is an amenable number.

13271013 is a deficient number, since it is larger than the sum of its proper divisors (9672987).

13271013 is an equidigital number, since it uses as much as digits as its factorization.

13271013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13271013 is about 3642.9401587180. The cubic root of 13271013 is about 236.7561985749.

Adding to 13271013 its reverse (31017231), we get a palindrome (44288244).

It can be divided in two parts, 1327101 and 3, that added together give a square (1327104 = 1152²).

The spelling of 13271013 in words is "thirteen million, two hundred seventy-one thousand, thirteen".